Fungrim symbol: Csgn

Symbol: Csgn —

\operatorname{csgn}(z)

— Real-valued sign function for complex numbers

Domain	Codomain
$z \in \mathbb{C}$	$\operatorname{csgn}(z) \in \left\{-1, 0, 1\right\}$

Table data:

\left(P, Q\right)

such that

\left(P\right) \;\implies\; \left(Q\right)

References:

https://www.maplesoft.com/support/help/maple/view.aspx?path=csgn

Definitions:

Fungrim symbol	Notation	Short description
`Csgn`	$\operatorname{csgn}(z)$	Real-valued sign function for complex numbers
`CC`	$\mathbb{C}$	Complex numbers

Source code for this entry:

Entry(ID("ce8ee4"),
    SymbolDefinition(Csgn, Csgn(z), "Real-valued sign function for complex numbers"),
    Table(TableRelation(Tuple(P, Q), Implies(P, Q)), TableHeadings(Description("Domain"), Description("Codomain")), List(Tuple(Element(z, CC), Element(Csgn(z), Set(-1, 0, 1))))),
    References("https://www.maplesoft.com/support/help/maple/view.aspx?path=csgn"))

Topics using this symbol

The symbol Csgn appears in 2 topics:

Complex parts (in 3 entries)
Inverse tangent (in 2 entries)

Entries using this symbol

The symbol Csgn appears in 5 entries: